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Finding the Fourth Proportional to 2,698.78, 4,048.14 and 1,056.46

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Solution

The fourth proportional to 2,698.78, 4,048.14 and 1,056.46 is: 1,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.78 : 4,048.14 = 1,056.46 : x
  2. Step 2: Convert to fraction form
    2,698.78/4,048.14 = 1,056.46/x
  3. Step 3: Cross multiply
    2,698.78x = 4,048.14 × 1,056.46
  4. Step 4: Simplify right side
    2,698.78x = 4,276,697.98
  5. Step 5: Solve for x
    x = 4,276,697.98/2,698.78
  6. Step 6: Final answer
    x = 1,584.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.